What is the Least Common Multiple of 62157 and 62169?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 62157 and 62169 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62157 and 62169, than apply into the LCM equation.

GCF(62157,62169) = 3
LCM(62157,62169) = ( 62157 × 62169) / 3
LCM(62157,62169) = 3864238533 / 3
LCM(62157,62169) = 1288079511

Least Common Multiple (LCM) of 62157 and 62169 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62157 and 62169. First we will calculate the prime factors of 62157 and 62169.

Prime Factorization of 62157

Prime Factorization of 62169

Now multiplying the highest exponent prime factors to calculate the LCM of 62157 and 62169.

LCM(62157,62169) = 3¹ × 20719¹ × 17¹ × 23¹ × 53¹
LCM(62157,62169) = 1288079511